(4m+2)(5m+3)=

Solution for (4m+2)(5m+3)= equation:

Simplifying
(4m + 2)(5m + 3) = 0

Reorder the terms:
(2 + 4m)(5m + 3) = 0

Reorder the terms:
(2 + 4m)(3 + 5m) = 0

Multiply (2 + 4m) * (3 + 5m)
(2(3 + 5m) + 4m * (3 + 5m)) = 0
((3 * 2 + 5m * 2) + 4m * (3 + 5m)) = 0
((6 + 10m) + 4m * (3 + 5m)) = 0
(6 + 10m + (3 * 4m + 5m * 4m)) = 0
(6 + 10m + (12m + 20m2)) = 0

Combine like terms: 10m + 12m = 22m
(6 + 22m + 20m2) = 0

Solving
6 + 22m + 20m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + 11m + 10m2) = 0

Factor a trinomial.
2((3 + 5m)(1 + 2m)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + 5m)' equal to zero and attempt to solve:

Simplifying
3 + 5m = 0

Solving
3 + 5m = 0

Move all terms containing m to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + 5m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5m = 0 + -3
5m = 0 + -3

Combine like terms: 0 + -3 = -3
5m = -3

Divide each side by '5'.
m = -0.6

Simplifying
m = -0.6
Subproblem 2
Set the factor '(1 + 2m)' equal to zero and attempt to solve:

Simplifying
1 + 2m = 0

Solving
1 + 2m = 0

Move all terms containing m to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + 2m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2m = 0 + -1
2m = 0 + -1

Combine like terms: 0 + -1 = -1
2m = -1

Divide each side by '2'.
m = -0.5

Simplifying
m = -0.5
Solution
m = {-0.6, -0.5}